1 - sin(t) cos(t) tan(t) = 1 - sin(t) cos(t) (sin(t)/cos(t))Since sin(t) cos(t) (sin(t)/cos(t)) and sin(t) sin(t) they are the same.So, 1 - sin(t) sin(t) will then be 1 - sin²(t).
1 - sin(t) cos(t) tan(t) = 1 - sin(t) cos(t) (sin(t)/cos(t))
Since sin(t) cos(t) (sin(t)/cos(t)) and sin(t) sin(t) they are the same.
So, 1 - sin(t) sin(t) will then be 1 - sin²(t).